Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656be |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-858153081971890368 = -1 · 26 · 37 · 1910 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 6 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,217202,21715340] |
[a1,a2,a3,a4,a6] |
j |
2888000/2187 |
j-invariant |
L |
2.5197849288457 |
L(r)(E,1)/r! |
Ω |
0.17998463777509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34656e1 69312l1 103968u1 34656b1 |
Quadratic twists by: -4 8 -3 -19 |